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cs.FL2025
The hereditariness problem for the Černý conjecture
Emanuele Rodaro, Riccardo Venturi
This paper addresses the lifting problem for the Černý conjecture: namely, whether the validity of the conjecture for a quotient automaton can always be transferred (or "lifted") t…
math.CO2025
Horofunctions of infinite Sierpinski polygon graphs
Daniele D'Angeli, Francesco Matucci, Davide Perego +1
Generalizing works of D'Angeli and Donno, we describe, starting from an infinite sequence over letters with and , a sequence of pointed finite gra…
math.GR2025
Freeness Obstructions for Self-Similar Groups Acting on Rooted Trees
Daniele D'Angeli, Emanuele Rodaro
We prove two general obstructions to freeness for self-similar groups and derive consequences for automaton groups. First, let be a finite invertible Mealy automaton w…